When a person smokes heavily for some period of time, the walls of their alveoli

Question

When a person smokes heavily for some period of time, the walls of their alveoli start to collapse. Say that this happened for a particular smoker, producing a lung that has the same total volume but containing alveoli whose average radius has increased 3 fold. If the smoke breathes at the same rate as the non-smoker, by what factor must they reduce their energy expenditure? Answer will be exact. Assume the same volume of air is inhaled in each breath and that the flux is constant.

New energy expenditure = 1/3 of the old energy expenditure

New energy expenditure = 1/6 of the old energy expenditure

New energy expenditure = 1/9 of the old energy expenditure

New energy expenditure = 1/27 of the old energy expenditure

New energy expenditure = 1/1 of the old energy expenditure

Explanation / Answer

option 4

as we know wnergy is directly proportional to the volume and pressure to keep pressure constant so that same flow rate maintained so energy will propotional to volume and volume id proportional to cube of radius so energy is proportional to radius given which is 33 =27 so answer will be 4 option given

new energy expenditure = 1/27 of the old energy expenditure

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